On the cones of \(\alpha\) and generalized \(\alpha\)-positivity for quantum field theories with indefinite metric
From MaRDI portal
Publication:1346672
DOI10.2977/prims/1195165793zbMath0830.46017OpenAlexW1978409956MaRDI QIDQ1346672
Publication date: 10 April 1995
Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2977/prims/1195165793
tensor algebras*-algebra of (unbounded) operators\(\#\)-conescones of \(\alpha\)-positivity and generalized \(\alpha\)-positivityinvolutive conesKrein-space theory
Algebras of unbounded operators; partial algebras of operators (47L60) Axiomatic quantum field theory; operator algebras (81T05) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20)
Related Items
On algebraic \(\sharp\)-cones in topological tensor algebras. II: Closed hulls and extremal rays ⋮ On the GNS representation of generalized free fields with indefinite metric ⋮ Krein space representations and Radon-Nikodým theorem for local \(\alpha \)-completely positive maps
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unbounded GNS representations of a *-algebra in a Krein space
- Spontaneous symmetry breaking in local gauge quantum field theory; the Higgs mechanism
- Canonical quantization with indefinite inner product
- Indecomposable representations with invariant inner product. A theory of the Gupta-Bleuler triplet
- Infrared problem in QED and electric charge renormalization
- Systems with outer constraints. Gupta-Bleuler electro-magnetism as an algebraic field theory
- Euclidean formulation of quantum field theory without positivity
- On the closed hull of subsets of inductive limits
- Remarks on the reconstruction theorem for field theories with indefinite metric
- On algebra \(\sharp\)-cones in topological tensor-algebras. I: Basic properties and normality
- On a pathology in indefinite metric inner product space
- An explicit realization of a GNS representation in a Krein-space
- Geometry of indefinite-metric spaces
- On the algebra of test functions for field operators. Decomposition of linear functionals into positive ones
- Indefinite-Metric Quantum Field Theory of General Relativity
- Unbounded representations of symmetry groups in gauge quantum field theory. I. Confinement and differentiation
- Krein structures for Wightman and Schwinger functions
- On structure of the algebra of field operators
- Canonical linear transformation on Fock space with an indefinite metric
